EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
The
exponent
in the term
4
3
is
(i)
0
(ii)
3
(iii)
-3
(iv)
-4
(v)
4
Question
2
2.
Find the exponential notation of
(
-11
13
)
✕
(
-11
13
)
✕
(
-11
13
)
✕
(
-11
13
)
✕
(
-11
13
)
✕
(
-11
13
)
✕
(
-11
13
)
(i)
7
(
-11
13
)
(ii)
8
(
-11
13
)
(iii)
6
(
-11
13
)
(iv)
(-1)
7
(v)
7
(
-9
13
)
Question
3
3.
log
9
27
=
(i)
9.5
(ii)
0.5
(iii)
1.5
(iv)
3.5
(v)
2.5
Question
4
4.
Find the period of the recurring decimal
2.
814
(i)
81
(ii)
814
(iii)
8140
(iv)
4
(v)
3
Question
5
5.
log
10
120
=
(i)
3
log
2
+
-1
log
3
+
log
5
(ii)
3
log
5
+
log
3
+
log
5
(iii)
3
log
2
+
2
log
3
+
log
5
(iv)
3
log
2
+
log
3
+
log
5
(v)
3
log
2
+
log
3
+
log
4
Question
6
6.
The base exponent form of
log
9
6561
=
4
is
(i)
9
5
=
6561
(ii)
11
4
=
6561
(iii)
9
3
=
6561
(iv)
4
9
=
6561
(v)
9
4
=
6561
Question
7
7.
Express
log
4
√
p
q
r
4
s
5
in terms of
log
4
p
,
log
4
q
,
log
4
r
and
log
4
s
(i)
1
2
log
4
p
+
1
2
log
4
q
−
4
log
4
r
−
5
log
4
s
(ii)
1
2
log
4
p
−
1
2
log
4
q
+
4
log
4
r
−
5
log
4
s
(iii)
1
2
log
4
p
+
1
2
log
4
q
+
4
log
4
r
−
5
log
4
s
(iv)
1
2
log
4
p
−
1
2
log
4
q
−
4
log
4
r
+
5
log
4
s
(v)
1
2
log
4
p
−
1
2
log
4
q
−
4
log
4
r
−
5
log
4
s
Question
8
8.
If
x
=
1
+
log
c
a
b
;
y
=
1
+
log
a
b
c
;
z
=
1
+
log
b
a
c
,
then which of the following is true?
(i)
(
x
y
+
x
z
+
y
z
)
=
x
y
z
(ii)
(
x
+
y
+
z
)
=
x
y
z
(iii)
(
x
y
−
x
z
−
y
z
)
=
x
y
z
(iv)
(
x
y
−
x
z
+
y
z
)
=
x
y
z
(v)
(
x
y
+
x
z
−
y
z
)
=
x
y
z
Question
9
9.
log
3
9
5
5
=
(i)
5
log
5
−
9
log
3
(ii)
9
log
3
÷
5
log
5
(iii)
5
log
5
✕
9
log
3
(iv)
5
log
5
+
9
log
3
(v)
5
log
5
÷
9
log
3
Question
10
10.
If
log
2
y
+
3
log
2
x
=
2
express
y
in terms of
x
(i)
y
=
x
4
(ii)
y
=
x
3
4
(iii)
y
=
4
x
3
(iv)
y
=
4
x
Question
11
11.
Find the value of
x
if
log
(
x
+
4
)
+
log
(
x
−
4
)
=
log
3
(i)
(
√
19
,
(
−
19
)
)
(ii)
(
19
,
(
−
√
19
)
)
(iii)
(
19
,
(
−
19
)
)
(iv)
(
√
19
,
(
−
√
19
)
)
Question
12
12.
log
6.0000
−
log
9.0000
=
(i)
log
0.6667
(ii)
log
8.6667
(iii)
log
1.6667
(iv)
log
7.6667
(v)
log
2.6667
Question
13
13.
Express
2
7
as a decimal correct to 3 decimal places
(i)
0.286
(ii)
0.386
(iii)
0.086
(iv)
0.486
(v)
0.186
Question
14
14.
The base of
log
4
7
52
is
(i)
4
5
(ii)
6
7
(iii)
4
7
(iv)
52
(v)
2
7
Question
15
15.
Simplify the expression
(-4)
-6
✕
(-4)
-4
(i)
(-4)
-10
(ii)
(-4)
-11
(iii)
(-1)
-10
(iv)
(-4)
-9
(v)
(-7)
-10
Question
16
16.
Convert the non-terminating recurring decimal
16.
481
to rational number
(i)
443
27
(ii)
149
9
(iii)
445
27
(iv)
89
5
(v)
445
29
Question
17
17.
Which of the following is a decimal fraction?
(i)
21
1
3
(ii)
17
13
(iii)
4
10
(iv)
10
8
13
(v)
7
12
Question
18
18.
log
2401
16807
=
(i)
9.25
(ii)
1.25
(iii)
2.25
(iv)
3.25
(v)
0.25
Question
19
19.
Find the HCF of
{460,160}
(i)
17
(ii)
21
(iii)
23
(iv)
19
(v)
20
Question
20
20.
The
exponent
in the term
5
(
7
6
)
is
(i)
(
-7
6
)
(ii)
-5
(iii)
3
(iv)
5
(v)
7
6
Question
21
21.
The
power
in the term
5
8
is
(i)
-8
(ii)
-5
(iii)
5
(iv)
8
Question
22
22.
log
46
3
+
log
46
7
=
(i)
log
46
9
(ii)
log
48
10
(iii)
log
46
10
(iv)
log
43
10
(v)
log
46
11
Question
23
23.
log
10
3920
=
(i)
4
log
2
+
log
5
+
2
log
7
(ii)
4
log
2
+
log
4
+
2
log
7
(iii)
5
log
2
+
log
5
+
2
log
7
(iv)
4
log
5
+
log
5
+
2
log
7
(v)
4
log
2
+
log
3
+
2
log
7
Question
24
24.
Find the exponential notation of
-7
✕
-7
✕
-7
✕
-7
✕
-7
✕
-7
(i)
(-7)
7
(ii)
(-7)
6
(iii)
(-9)
6
(iv)
(-4)
6
(v)
(-7)
5
Question
25
25.
Simplify the expression
7
2
✕
(
9
8
)
7
✕
(
7
3
)
7
(i)
(
131
24
)
7
(ii)
(
11
2
)
7
(iii)
(
131
24
)
9
(iv)
(
131
24
)
5
(v)
(
141
26
)
7
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (ii)
5) (iv)
6) (v)
7) (i)
8) (i)
9) (v)
10) (iii)
11) (iv)
12) (i)
13) (i)
14) (iii)
15) (i)
16) (iii)
17) (iii)
18) (ii)
19) (v)
20) (iv)
21) (iv)
22) (iii)
23) (i)
24) (ii)
25) (i)
